Probabilistic Models for Erosion Parameters and Reliability Analysis of Earth Dams and Levees

AbstractProbabilistic models for two soil erosion parameters needed to model the erodibility of water-retaining structures are developed. The models predict the values of the critical shear stress and the coefficient of erosion starting from other measurable soil properties. The models include both noncohesive and cohesive contributions to the erosion behavior. An importance sampling simulation method is parallelized to be implemented in parallel computing resources to calibrate the models and estimate the unknown parameters using laboratory data. The probabilistic models are then used to develop fragility curves that capture the vulnerability of a typical earth dam to internal erosion.

[1]  Kevin S. Richards,et al.  Critical appraisal of piping phenomena in earth dams , 2007 .

[2]  Stéphane Bonelli,et al.  Concentrated Leak Erosion , 2013 .

[3]  Armen Der Kiureghian,et al.  Probabilistic Models and Fragility Estimates for Bridge Components and Systems , 2002 .

[4]  George E. P. Box,et al.  Bayesian Inference in Statistical Analysis: Box/Bayesian , 1992 .

[5]  Robin Fell,et al.  Investigation of Rate of Erosion of Soils in Embankment Dams , 2004 .

[6]  Paolo Gardoni,et al.  Probabilistic Assessment of Structural Damage due to Earthquakes for Buildings in Mid-America , 2009 .

[7]  Michael Collins,et al.  The influence of clay on the threshold of movement of fine sandy beds , 1997 .

[8]  Zhenlin Yang,et al.  A Modified Family of Power Transformations , 2006 .

[9]  T. Wahl,et al.  Relationship between the Erosion Properties of Soils and Other Parameters , 2013 .

[10]  Armen Der Kiureghian,et al.  PROBABILISTIC SEISMIC DEMAND MODELS AND FRAGILITY ESTIMATES FOR RC BRIDGES , 2003 .

[11]  Robin Fell,et al.  Laboratory Tests on the Rate of Piping Erosion of Soils in Embankment Dams , 2004 .

[12]  R. Fell,et al.  The statistics of embankment dam failures and accidents , 2000 .

[13]  Werner Schiehlen,et al.  On the simulation of stochastic processes by spectral representation , 1997 .

[14]  Helge Toutenburg,et al.  Linear models : least squares and alternatives , 1999 .

[15]  G. C. Tiao,et al.  Bayesian inference in statistical analysis , 1973 .

[16]  Stéphane Bonelli,et al.  Investigating concentrated leak erosion behaviour of cohesive soils by performing hole erosion tests , 2012 .

[17]  Gregory J. Hanson,et al.  Erodibility of cohesive streambeds in the loess area of the midwestern USA , 2001 .

[18]  Steven G. Vick Degrees of Belief: Subjective Probability and Engineering Judgment , 2002 .

[19]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[20]  Wilson H. Tang,et al.  Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering , 2006 .

[21]  M. V. Ledden,et al.  Sand-mud segregation in estuaries and tidal basins , 2003 .

[22]  Armen Der Kiureghian,et al.  Probabilistic Capacity Models and Fragility Estimates for Reinforced Concrete Columns based on Experimental Observations , 2002 .

[23]  L. Rijn Principles of sediment transport in rivers, estuaries and coastal seas , 1993 .

[24]  Frederick Mosteller,et al.  Quantitative meanings of verbal probability expressions. , 1989 .